English

Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety

Algebraic Geometry 2020-07-01 v2

Abstract

Let XX be a connected smooth complex projective variety of dimension n1n \geq 1. Let DD be a simple normal crossing divisor on XX. Let GG be a connected complex Lie group, and EGE_G a holomorphic principal GG-bundle on XX. In this article, we give criterion for existence of a logarithmic connection on EGE_G singular along DD.

Keywords

Cite

@article{arxiv.1912.00598,
  title  = {Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety},
  author = {Sudarshan Gurjar and Arjun Paul},
  journal= {arXiv preprint arXiv:1912.00598},
  year   = {2020}
}

Comments

To appear in Ann. Global Anal. Geom